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Mathematics

Electronic Theses and Dissertations

Theses/Dissertations

2006

De Bruijn graph

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On The Chromatic Number Of The Ao(2, K , K-1) Graphs., Navya Arora May 2006

On The Chromatic Number Of The Ao(2, K , K-1) Graphs., Navya Arora

Electronic Theses and Dissertations

The alphabet overlap graph is a modification of the well known de Bruijn graph. De Bruijn graphs have been highly studied and hence many properties of these graphs have been determined. However, very little is known about alphabet overlap graphs. In this work we determine the chromatic number for a special case of these graphs.

We define the alphabet overlap graph by G = AO(a, k, t, where a, k and t are positive integers such that 0 ≤ tk. The vertex set of G is the set of all k …